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Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.1
Investments
Chapter 19: Futures, Options and other Derivatives
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.2
Derivatives
• A derivative security is a financial asset that derives its value from another asset.
• A derivate is also known as a ‘contingent claim’, because its value is contingent on characteristics of the underlying security.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.3
Use of Derivatives
Investors use derivative contracts in four basic strategies:
1. Hedging.
2. Speculating.
3. Arbitrage.
4. Portfolio diversification.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.4
Arbitrage
Arbitrage - arises if an investor can construct a zero investment portfolio with a sure profit.
• Since no investment is required, an investor can create large positions to secure large levels of profit.
• In efficient markets, profitable arbitrage opportunities will quickly disappear.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.5
Forward Contracts: I
• An agreement to exchange goods for cash at a pre-specified future date.
• The seller of a forward contract has a short position: an obligation to deliver the goods.
• The buyer of a forward has a long position: an obligation to buy the goods.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.6
Forward Contracts: II
Exhibit 19.2 Payoff diagrams for a forward contactSource: From Introduction to Investments, 2nd edn, by Levy. © 1999. Reprinted with permission of South-Western, a division of Thomson Learning: www.thomsonrights.com. Fax 800 730-2215.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.7
Swaps
• An agreement between two counterparties to exchange payments based on the value of one asset in exchange for payments based on the value of another asset.
• Four major types of swaps:
1. Interest-rate swaps.2. Credit swaps.3. Currency swaps.4. Commodity swaps.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.8
Interest-rate Swap
Counterparties exchange interest payments that depend on pre-specified interest rates:
Exhibit 19.4 Plain vanilla interest-rate swap agreement
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.9
Credit Swap
Designed to exchange default risk. Two categories of credit swaps:
1. Default swapsOnly default (=credit) risk is exchanged.
2. Total return swapsA combination of an interest-rate swap and a
default swap.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.10
Currency and Commodity Swaps
• Currency swapsInvolves the exchange of different currencies, at pre-specified points in time.
• Commodity swapsInvolves the exchange of cash based on the value of a specified commodity, at pre- specified points in time.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.11
The Swap Bank
• A swap bank is a generic term to describe a financial institution that facilitates swaps between counterparties.
• The swap bank can serve as either a broker or a dealer.
– As a broker, the swap bank matches counterparties but does not assume any of the risks of the swap.
– As a dealer, the swap bank stands ready to accept either side of a currency swap, and then later lay off their risk, or match it with a counterparty.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.12
An Example of an Interest Rate Swap
• Consider this example of a “plain vanilla” interest rate swap.
• Bank A is a AAA-rated international bank located in the U.K. and wishes to raise $10,000,000 to finance floating-rate Eurodollar loans.
– Bank A is considering issuing 5-year fixed-rate Eurodollar bonds at 10 percent.
– It would make more sense to the bank to issue floating-rate notes at LIBOR to finance floating-rate Eurodollar loans.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.13
An Example of an Interest Rate Swap
• Firm B is a BBB-rated U.S. company. It needs $10,000,000 to finance an investment with a five-year economic life.
– Firm B is considering issuing 5-year fixed-rate Eurodollar bonds at 11.75 percent (higher risk).
– Alternatively, firm B can raise the money by issuing 5-year floating-rate notes at LIBOR + ½ percent.
– Firm B would prefer to borrow at a fixed rate.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.14
An Example of an Interest Rate Swap
The borrowing opportunities of the two firms are:
COMPANY B BANK A
Fixed rate 11.75% 10%
Floating rate LIBOR + .5% LIBOR
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.15
An Example of an Interest Rate Swap
Bank
A
The swap bank makes this offer to Bank A:
You pay LIBOR – 1/8 % per year on $10 million for 5 years and we will
pay you 10 3/8% on $10 million for 5 years
COMPANY B BANK A
Fixed rate 11.75% 10%
Floating rate LIBOR + .5% LIBOR
Swap
Bank
LIBOR – 1/8%
10 3/8%
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.16
COMPANY B BANK A
Fixed rate 11.75% 10%
Floating rate LIBOR + .5% LIBOR
An Example of an Interest Rate Swap
Here’s what’s in it for Bank A: They can borrow externally at
10% fixed and have a net borrowing position of
-10 3/8 + 10 + (LIBOR – 1/8) =
LIBOR – ½ % which is ½ % better than they can borrow
floating without a swap. 10%
½% of $10,000,000 = $50,000. That’s quite
a cost savings per year for 5 years.
Swap
Bank
LIBOR – 1/8%
10 3/8%
Bank
A
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.17
An Example of an Interest Rate Swap
Company
B
The swap bank makes this offer to company B: You pay us 10½% per
year on $10 million for 5 years and we
will pay you LIBOR – ¼ % per
year on $10 million for 5 years.
Swap
Bank10 ½%
LIBOR – ¼%
COMPANY B BANK A
Fixed rate 11.75% 10%
Floating rate LIBOR + .5% LIBOR
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.18
COMPANY B BANK A
Fixed rate 11.75% 10%
Floating rate LIBOR + .5% LIBOR
An Example of an Interest Rate Swap
They can borrow externally at
LIBOR + ½ % and have a net
borrowing position of
10½ + (LIBOR + ½ ) - (LIBOR - ¼ ) = 11.25% which is ½% better than they can borrow floating.
LIBOR + ½%
Here’s what’s in it for B:½ % of $10,000,000 = $50,000 that’s quite a
cost savings per year for 5 years.
Swap
Bank
Company
B
10 ½%
LIBOR – ¼%
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.19
An Example of an Interest Rate Swap
The swap bank makes money too. ¼% of $10 million = $25,000 per year
for 5 years.
LIBOR – 1/8 – [LIBOR – ¼ ]= 1/8
10 ½ - 10 3/8 = 1/8
¼
Swap
Bank
Company
B
10 ½%
LIBOR – ¼%LIBOR – 1/8%
10 3/8%
Bank
A
COMPANY B BANK A
Fixed rate 11.75% 10%
Floating rate LIBOR + .5% LIBOR
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.20
An Example of an Interest Rate Swap
Swap
Bank
Company
B
10 ½%
LIBOR – ¼%LIBOR – 1/8%
10 3/8%
Bank
A
B saves ½%A saves ½%
The swap bank makes ¼%
COMPANY B BANK A
Fixed rate 11.75% 10%
Floating rate LIBOR + .5% LIBOR
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.21
An Example of a Currency Swap
• Suppose a U.S. MNC wants to finance a £10,000,000 expansion of a British plant.
• They could borrow dollars in the U.S. where they are well known and exchange for dollars for pounds.
– This will give them exchange rate risk: financing a sterling project with dollars.
• They could borrow pounds in the international bond market, but pay a premium since they are not as well known abroad.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.22
An Example of a Currency Swap
• If they can find a British MNC with a mirror-image financing need, they may both benefit from a swap.
• If the spot exchange rate is S0($/£) = $1.60/£, the U.S. firm needs to find a British firm wanting to finance dollar borrowing in the amount of $16,000,000.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.23
An Example of a Currency Swap
Consider two firms A and B: firm A is a U.S.–based multinational and firm B is a U.K.–based multinational.
Both firms wish to finance a project in each other’s country of the same size. Their borrowing opportunities are given in the table below.
$ £
Company A 8.0% 11.6%
Company B 10.0% 12.0%
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.24
$9.4%
An Example of a Currency Swap
$ £
Company A 8.0% 11.6%
Company B 10.0% 12.0%
Firm
B
$8% £12%
Swap
Bank
Firm
A
£11%
$8%
£12%
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.25
An Example of a Currency Swap
$8% £12%
$ £
Company A 8.0% 11.6%
Company B 10.0% 12.0%
Firm
B
Swap
Bank
Firm
A
£11%
$8% $9.4%
£12%
A’s net position is to borrow at £11%
A saves £.6%
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.26
An Example of a Currency Swap
$8% £12%
$ £
Company A 8.0% 11.6%
Company B 10.0% 12.0%
Firm
B
Swap
Bank
Firm
A
£11%
$8% $9.4%
£12%
B’s net position is to borrow at $9.4%
B saves $.6%
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.27
An Example of a Currency Swap
$8% £12%Firm
B
The swap bank makes money too:
1.4% of $16 million (= 9.4% - 8%) financed with 1% of £10 million (=11% - 12%) per
year for 5 years.
Swap
Bank
Firm
A
£11%
$8% $9.4%
£12%
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.28
An Example of a Currency Swap
$8% £12%
$ £
Company A 8.0% 11.6%
Company B 10.0% 12.0%
Firm
B
The swap bank makes money too:
-1% of £10 million = -£100,000 = -$160,000 per year for 5 years. The swap bank faces
exchange rate risk, but maybe they can lay it off (in another swap).
1.4% of $16 million = $224,000 per year
for 5 years.Swap
Bank
Firm
A
£11%
$8% $9.4%
£12%
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.29
Futures Contracts
An agreement to exchange goods (or a variable amount of money) for an agreed
amount of cash at some future date, and at a predetermined price or rate.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.30
Futures vs. Forward Contracts
• Futures contracts are traded on financial exchanges and have standardized conditions. Forwards are OTC contracts and do not have standardized conditions.
• Futures are marked to market, hence their cash-flow pattern is different from forwards, which are not marked to market.
• Because of this marking to market, futures contracts also have less credit risk than forwards.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.31
Options
• An option gives its holder the right to buy or sell a specified amount of an underlying asset at a pre-determined price.
• Two basic types of options:
- Call options (right to buy).- Put options (right to sell).
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.32
Option Definitions: I
• Strike Price (also Exercise Price)The predetermined price at which the holder of an option has the right to buy or sell the underlying asset.
• Expiration Date (also Maturity Date)The date on which an option expires, or ceases to exist when the option is not exercised.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.33
Option Definitions: II
Intrinsic Value
The value of an option if it is exercised immediately, unless this value is negative, in which case the intrinsic value is zero:
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.34
Payoff Diagrams
Payoff diagrams at expiration can be constructed as follows:
1. Determine the intrinsic value of the option.
2. Add (or subtract) the option premium that has been received (paid).
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.35
Payoff Diagrams: An Example
Exhibit 19.14 Payoff diagram for buying a put option (long put)
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.36 Investment Strategies Using Derivatives: I
Simple strategy:
Exhibit 19.19 Payoff diagram: buying a stock and a put option
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.37 Investment Strategies using Derivatives: II
More complex strategies:
1. Spreads.
2. Straddles.
3. Strangles.
Levy and Post, Investments © Pearson Education Limited 2005
Slide 19.38
Financial Engineering
New, innovative financial instruments based on derivatives principles have become available on the OTC markets since the 1980s and 1990s.
Examples:
1. Exotic options.2. Options on futures and swaps.3. Credit spread options.4. CAT bonds.5. Weather derivatives.